The rate of margin used is 37.5% . The cost price of the batch of plywood is $312.5. Fence post sell for $16. The selling price was $133.33
Margin is the difference between the Selling price and the cost price. The price at which a item is sold is called the selling price and the price at which an item is bought is called the cost price.
The given markup is 60%.
We know that margin=markup÷(1+markup)
markup=60%
Substituting the values we get the rate of margin:
[tex]=\frac{\frac{60}{100} }{1+\frac{60}{100} } \\=\frac{60}{160}\\ =37.5[/tex]
Hence the rate of margin is 37.5 %.
Selling price for the plywood=$500
We know that selling price=cost price ÷(1-margin)
Let the cost price be x
[tex]x=500(1-\frac{37.5}{100} )\\x=312.50[/tex]
The cost price is $ 312.50 .
Now cost of fence = $10
Selling price of fence=cost price÷(1-margin)
substituting the values we get:
Selling price =10÷0.625
or, selling price= $16
Therefore the selling price is $16 .
Now we know that Markup percentage= profit÷ cost price
Substituting the values we get:
[tex]60\% = \frac{50}{CP}\\or,\frac{60}{10}=\frac{50}{CP}\\or,CP=83.33[/tex]
Therefore sell price=cost price+ profit
or, sell price=83.33+50
or, sell price =133.33
The sell price is $133.33
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Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
How to determine the possible rectangle's length and width?The given parameters are
Area = 15 square cm
The area is given as
Area = 15 square cm
The formula of area is
Area = Length x Width
Using the above formula, we have:
A) 1 cm and 15 cm ⇒ 15 square cm
B) 2 cm and 7 cm ⇒ 14 square cm
C) 3 cm and 5 cm ⇒ 15 square cm
D) 4 cm and 4 cm ⇒ 16 square cm
Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
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Possible question
The area of a rectangle is 15 square cm
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
Liam bought pizza and wings for $17.58. How much change should Liam receive if he gave the clerk three $10 bills
Answer:
$12.42
Step-by-step explanation:
$10 x 3 = $30.00
$30.00 - 17.58 = $12.42
What percent of the days were sunny?
Please help, I don’t know how to solve this!
The average temperature in the mountains is 61° in April. The average temperature in that same spot is −2° in December. Determine how much warmer this location is in April than in December, and determine which temperature is the farthest away from 0°.
Answer: 59 degrees warmer and -2 is farther away form 0 than 61 degrees.
Step-by-step explanation: 59+2=61 so, that's how I got the answer. The rest is really easy.
The absolute value of 61°F is greater than the absolute value of 2°F. Therefore, the temperature of 61°F in April is the farthest away from 0°F.
To determine how much warmer the location is in April than in December, you can calculate the difference between the two temperatures:
Temperature difference = April temperature - December temperature
Temperature difference = 61°F - (-2°F)
Temperature difference = 61°F + 2°F
Temperature difference = 63°F
So, the location is 63 degrees Fahrenheit warmer in April than in December.
To determine which temperature is the farthest away from 0°F, you can calculate the absolute value of the difference between each temperature and 0°F and then compare them:
Absolute value of (61°F - 0°F) = 61°F
Absolute value of (-2°F - 0°F) = 2°F
The absolute value of 61°F is greater than the absolute value of 2°F. Therefore, the temperature of 61°F in April is the farthest away from 0°F.
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If f(x) = -2x² + 4 and g(x) = 3x - 3, find f (4) + g(-6).
Answer:
(-2[tex]x^{2}[/tex]+3x+1)
Step-by-step explanation:
f(x) = -2x² + 4 g(x) = 3x - 3 find f (4) + g(-6).
f(x)+g(x)
(-2[tex]x^{2}[/tex]+4) +(3x-3)
(-2[tex]x^{2}[/tex]+3x+4-3)
(-2[tex]x^{2}[/tex]+3x+1)
Explain how you know 671,287 > 617,827
By comparing the given integer we come to know that 671,287 is greater than 617,827.
What is integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The given integer is
671,287 and 617,827
According to given question we have
If one number is significantly greater than another number, it may be difficult to compare the numbers effectively with a number line.
The number farthest to the right is the greater number.
So, 671,287 > 617,827.
Therefore, by comparing the given integer we come to know that 671,287 is greater than 617,827.
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Adult tickets to the museum cost $4, while student tickets
cost $3. If 105 tickets were sold for a total of $380, how
many of each were sold?
65 adult tickets were sold whereas 40 student tickets were sold as well
What approach is appropriate to solve the word problem?
The most suitable approach to determine the number of each type of tickets sold is by simultaneous equation such the word problems are modelled into equations which are solved together to ascertain the number of adult and student tickets sold altogether
let x be adult tickets sold
let y be student tickets sold
x+y=105........ equation 1
4x+3y=380........ equation 2
from equation 1, x=105-y
substitute for x in equation 2
4(105-y)+3y=380
420-4y+3y=380
420-y=380
420-380=y
40=y
y=40
x=105-40
x=65
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Select the action you would use to solve x-4=16 then select property that justifies the action
The value of x is 64 and the property that justifies that action is the multiplication property of equality.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
Mathematical statements are called expressions if they contain at least two terms that are connected by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
As an illustration, the expression x + y is one where x and y are terms with an addition operator in between. There are two types of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
We have an expression:
x/4 = 16
Apply Multiplication property of equality:
Multiply by 4 on both sides:
(x/4)4 = 16×4
x = 64
Thus, the value of x is 64 and the property that justifies that action is the multiplication property of equality option (1) is correct.
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Algebra (4224_EOZ1)
HW Score: 88.89%, 16 of 18 points
O Points: 0 of 1
By air, the distance from city A to city B is 3003 miles less than the distance from city C to city D. If the total of these two distances is 7827 miles, find the distance from city C to city D
ework 2: 3.3 & 3.4
Brooke Conti
Question 14, 3.4.35
09/06/22 7:12
The Distance between city C and city D is 5405 miles.
Given that Distance from city a to city b is 3003 miles less than the Distance fron city c to city d, the total of these two Distance is 7807 miles and asked to find Distance between city C and city D.
Given that,
(d-c)-(b-a)=3,003 miles { (Distance between city D and city C)-(Distance between city A and city B)} Let's assume it as equation A
(d-c)+(b-a)=7,807 miles { (Distance between city D and city C)+(Distance between city A and city B)} Let's assume it as equation B
Add equation A and B
2(d-c)=10,810
(d-c)=5,405
Hence,Distance between city D and city C is 5,405
Therefore,The Distance between city C and city D is 5405 miles.
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What is x in this equation .3=.5x-.7
By solving the linear equation it can be obtained that
The value of x is 2
What is a linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The given linear equation is
0.3 = 0.5x - 0.7
0.5x = 0.3 + 0.7
0.5x = 1
x = [tex]\frac{1}{0.5}[/tex]
x = 2
The solution of this linear equation is x = 2
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3x - 5 = -14
What does X equal?
the difference of a number and eight is four. Find the number.
Anna and Julia are at point P. Point Q is due North of point P. They disagree about the shortest route from P to Q. Anna walks on a bearing of 330°, and then changes to a bearing of 040°, which takes her straight to Q. Julia walks 3 km on a bearing of 0200, after which she walks on a bearing of 300°, which then takes her straight to Q. Who took the shorter route?
The Shorter route as per the bearing calculations is taken up by Julia.
What is a bearing?
The angle from the north line, expressed in degrees, is the correct bearing to a given point. The real bearing will simply be referred to as the bearing.A point's bearing is the number of degrees inside the angle measured counterclockwise from the north line towards the line connecting the point and the compass's center.When describing the direction from one point in relation to another, a bearing is utilized.Bearing calculations are illustrated below:
Route Taken up by Anna
360-330= 30°
First angle =90-30= 60°
Second angle= 60+(90-40) =110°
Third angle= 180-(110+30)= 40°
Route taken up by Julia:
First angle =20°
Second angle= 300-(180+20)=100°
Third angle=180-(20+100)=60°
Hence, the Shorter route as per the bearing calculations is taken up by Julia and bearing diagram is attached with the solution as an image.
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Line A and Line B are parallel. Line P is a transversal. If the measure of angle 8 is 140°, find the measures of the rest of the angles in the diagram. Then tell what the angle relationship is to angle 8.
The angle measures are;
Angle 7 is 40° = Angles 8 : supplementary
Angle 3 is 40° = Angles 8: supplementary angles
Angle 5 = 140° = Angle 8; corresponding angles
Angle 1 = 140° = Angle 8; corresponding angles
Angle 6 = 40° = Angle 8; supplementary angles
Angle 2 = 140° = Angle 8; corresponding angles
Angle 4 = 140° Angle 8; corresponding angles
How to determine the anglesGiven that angle 8 measures 140 degrees
It is important to note that angles on a straight line equals 180 degrees
Then,
angle 7 + angle 8 = 180°
Substitute the values of angle 8
Angle 7 + 140 = 180
Angle 7 = 180 - 140
Angle 7 = 40°
Thus, If angle 7 is 40° then angle 3 is 40°, corresponding angles
Angle 5 = Angle 8; corresponding angles
Angle 1 = Angle 8; corresponding angles
Angle 6 = Angle 7; corresponding angles
Angle 2 = Angle 8; corresponding angles
Angle 4 = Angle 8; corresponding angles
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Completa la tabla.
Número - opuesto - valor - absoluto
-5
10
-56
34
La tabla completa es:
Numero opuesto valor absoluto.
-5 5 5
10 -10 10
-56 56 56
34 -34 34
¿Como completar la tabla?
En este caso tenemos la tabla:
Numero opuesto valor absoluto.
-5
10
-56
34
Para completar la tabla debemos encontrar los opuestos de esos numeros, el opuesto de cualquier numero real es un número con el mismo valor absoluto pero distinto signo, entonces podemos completar la tabla:
Numero opuesto valor absoluto.
-5 5
10 -10
-56 56
34 -34
Ahora debemos encontrar los valores absolutos, eso es el mismo número pero en forma positiva, completando eso obtendremos:
Numero opuesto valor absoluto.
-5 5 5
10 -10 10
-56 56 56
34 -34 34
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Rewrite the expression [tex]\sqrt (4x)}[/tex] using rational exponents
The expression √4x using rational exponents ( 4x )^{\frac{1}{2} } .
What is rational exponents?
Expressions having exponents that are rational values are known as rational exponents (also known as fractional exponents) (as opposed to integers ). It is beneficial to give rational exponents serious consideration even though all the standard exponent criteria still apply.What is Integer Exponents?
In mathematics, exponents that should be integers are known as integer exponents. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.√4x
use [tex]\sqrt[n]{a^{x} } = a^{x/n}[/tex]
to rewrite
√4x = [tex]( 4x )^{\frac{1}{2} }[/tex]
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6:12 12:
Missing equivalent ratio
Answer:
24
Step-by-step explanation:
you multiplied 6 by 2 so you have to multiply 12 times 2 and you will get 24
????????????????????
Answer: 120 minutes, 105 km, proportional
Step-by-step explanation:
90 km/hr
180 km * 1 hr/90 km=
180 km/90 km * 1 hr=
2 hours=120 minutes
1 hour=60 minutes
70/60=x/90
7/6=x/90
7*90/6=x
x=7*15
x=105 km
determine the range of the following graph, help me please!!
Answer: Range: -9<=y<=-4
Step-by-step explanation:
Starts at (-5,-4), ends at (3, -9). Look at the y-coordinates
Range starts at y=-4, ends at y=-9. In the graph, there are no y-coordinates that are greater than -4 and less than -9.
Range: -9<=y<=-4
Answer:
-9 ≤ y ≤ -4
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph goes through.
The minimum y-value of this graph is -9, and the maximum y-value is -4. Since the endpoints are filled in, we use the ≥ or ≤ symbols to write the inequality.
The inequality is -9 ≤ y ≤ -4.
What are the coordinates of (-4,-2) rotating 90° counterclockwise?
Answer:
(2, -4)
Step-by-step explanation:
The rotation of an object turns the object around a fixed point called the center of rotation.
A rotation of 90° counterclockwise means:
A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.
The rule for a counterclockwise rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore:
(-4, -2) → (2, -4)
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maths midpoint theorem
please help
Step-by-step explanation:
2.
to complete the description :
PQ || MN || BC
the midpoint theorem :
the line segment in a triangle connecting the midpoints of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.
therefore,
MN connects the midpoints of AC and AB, and is therefore half of BC.
PQ connects the midpoints of AN and AM, and is therefore half of MN. and that is half of half of BC = one quarter of BC.
MN = 1/2 × BC
PQ = 1/2 × MN = 1/2 × 1/2 × BC = 1/4 × BC =
= 1/4 × 16 = 4 mm
3.
UV = 10 cm connects the midpoints of PT and PS, and is therefore 1/2 of TS.
in other words, TS = 2×UV = 2×10 = 20 cm.
now we go the other direction from Q :
TS connects to midpoints of QU and QR. therefore,
UR = 2×TS = 2×20 = 40 cm.
VR = UR - UV = 40 - 10 = 30 cm
What is (−114)(52)(−4)?
−23,712
−2,792
2,792
23,712
Answer:
Step-by-step explanation:
multiplication no need to care about order
(-114)(52*4)
=(-114)(208)
=(-100-10-4)(200+8)
=-20000-800-2000-80-800-32
=-23712
The product of the given numbers is 23,712.
The given expression is (−114)(52)(−4).
We need to evaluate the given expression.
What are integers multiplication rules?The rules for integer multiplication are as follows:
The product of two positive integers is always positive.The product of two negative integers is always positive.The product of one positive integer and one negative integer is always negative.Now, (−114)(52)(−4) can be evaluated as follows:
(−114)×(52)=-5,928
So, (-5,928)×(-4)=23,712
Therefore, the product of the given numbers is 23,712.
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Suppose there are 17 jelly beans in a box—2 red, 4 blue, 4 white, and 7 green.
What part of the jelly beans is blue? Express your answer in each of the forms requested.
As a fraction ____
Hint: To enter a fraction, use the forward slash button on the keyboard.
As a decimal rounded to the nearest ten-thousandth (four decimal places). _______
As a percentage rounded to the nearest hundredth (two decimal places) ______
Answer: 4/17
0.2353
0.24
Step-by-step explanation:
4 blue jelly beans. 17 total jelly beans.
4/17=0.235294
0.235294=0.2353
0.2353=0.24
Ray BD bisects angle abc. Find the m angle abd m angle cbd and m abc
m∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°;
Bisector BD bisects ∠ABC.
∠ABD= (8x+35)°, ∠CBD= (11x+23)°.
As given, bisector BD bisects the angle ABC so this means, the angle ABC is divided into two halves.
So,
angle ABD= angle CBD.
and ∠ABD= (8x + 35)° (i)
∠CBD= (11x + 23)° (ii)
So,
(8x + 35)° = (11x + 23)°
On solving the above equation, we have
3x= 12
x= 4.
Putting x=4 in (i) we have,
∠ABD= 8(4) + 35
∠ABD= 67°
As ∠ABD = ∠CBD, we have
∠CBD= 67°
Now,
∠ABC= ∠ABD + ∠CBD
∠ABC= 67° + 67°
∠ABC= 134°.
Hence, m∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°.
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b) Express 8.423 hours in hours, minutes, and seconds.
Hello!
[tex]8.423 \texttt{ hours in hours, minutes, seconds}[/tex]
[tex]8.423=08:25:22[/tex]
Hope this helps!
What proportion of people surveyed would be willing to pay more than $6.75 for a sandwich?
The proportion of people surveyed would be willing to pay more than $6.75 for a sandwich is 94.4%.
What is termed as normal distribution?The normal distribution, also recognized as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.
Early statisticians started to notice the same shape recurring in different distributions and designated it the normal distribution. Normal distributions are distinguished by their symmetric bell shape. The mean and median are the same; they are both in the middle of the distribution.As, for the given value in the question;
The formula for finding the z-score is;
z = (x - μ)/s
where,
n = sample size ( = 528)
σ = standard deviation ( = 1.19)
μ = mean of the sample (= 6.56)
Put the values and fine z-score.
z = (x - μ)/s
z = (6.75 - 6.56)/1.19
z = 0.19/1.19
z = 0.159
For the probability; see the p-value from the positive z-score table.
p(z > 0.159) = 0.944
p(z > 0.159) = 94.4%
Thus, the probability that the people would be willing to pay more than $6.75 for a sandwich is calculated as 94.4%.
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The complete question is -
A sample of 528 people were asked how much they would be willing to pay for a sandwich. Their responses were approximately normal with a mean of $6.56 and a standard deviation of $ 1.19.
What proportion of people surveyed would be willing to pay more than $6.75 for a sandwich?
Liam wants to buy raspberries and pears to make a fruit tart. Raspberries cost $2.50
per pound and pears cost $2.25 per pound. How much does he spend if he buys 3
ppunds of raspberries and 2 pounds of pears? How much does he spend if he buys a
pounds of raspberries and y pounds of pears?
He spends x pounds of Raspberries and y pounds of pears, then the equation can be 2.5x + 2.25 y
What is algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Raspberries cost $2.50 per pound
pears cost $2.25 per pound
so, she spends
=2.5 * 3 + 2.25 *2
=7.5+4.5
=$12
If he spends x pounds of Raspberries and y pounds of pears.
then the equation can be
2.5x + 2.25 y
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-4 + (-19) = ? I need a answer
Answer: - 23
Step-by-step explanation:
Hope this helps!
The equation 2x2−6x−9=0 has two solutions.
The solution to the given equation is 3±3√3/2
Solving quadratic equationGiven the quadratic equation below
2x^2−6x−9=0
Solve using the general formula to have:
a = 2
b = -6
c = -9
Substitute
x = -b±√b²-4ac/2a
x = -(-6)±√(-6)²-4(2)(-9)/2(2)
x = 6±√36+72/4
x = 6±√108/4
x = 6±6√3/4
x = 3±3√3/2
Hence the solution to the given equation is 3±3√3/2
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